Write in terms of confunction of a complementary angle:tan 26°

Given,

The rational function is,

As the degree of numerator is greater than the degree of denomenator, then vertical asymptote is not possible.

For hole in the graph,

Here, in the function,

The value (x-1) is cancel out from numerator and denomenator

So, the graph is discontinious at x=1

Hence, there is a "hole" in the graph at x=1.

Now, for the oblique asymptote,

Dividing the numerator by denominator,

On dividing we get (x + 1),

Hence, the function have oblique asymtote at y=x+1

Answer:

Hi there!

Your equation is:

x-2000<=2500

Step-by-step explanation:

X represents the amount of money earned. Subtract 2000 for expenses, and that is less than or equal to 2500.

Hope this helps

Answer:

it should be 4500

Step-by-step explanation:

2500+2000=4500 hope this helps

The price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit is 62.13

y = -14x² + 1035x - 10266

-14x² + 1035x - 10266 = 0

x = -b ± √b² - 4ac / 2a

= -1035 ± √1035² -4(-14)(-10266) / 2(-14)

= -1035 ± √1071225 - 574896 / -28

= -1035 ± √496329 / -28

x = 1035 / 28 ± √496329 / 28

x = 11.80 or 62.13

The maximum value of x is 62.13

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Answer: 46

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

13-4=9

11-4=7

16-4=12

9-4=5

15-4=11

Answer: y = x-4

Step-by-step explanation:

15 - 4 = 11

9 - 4 = 5

16 - 4 = 12

11 - 4 = 7

13 - 4 = 9

hopes this helps!!! :3

The sum of the given geometric series is given by 79545.8567

Any progression in which the ratio of adjacent terms is fixed is a Geometric Progression. The general form of representation of a geometric sequence is a, ar, ar², ar³,.....

Given here: The expression  1000(1.02)³⁰+ 1000(1.05)(1.02)²⁹+ 1000(1.05)²(1.02)²⁸ + ......

Clearly we can observe that the given sum is a geometric progression with common ratio =1.05/1.02

The given sum is a sum of first 29 terms of the G.P

Thus Sₙ = a(rⁿ - 1) / (r - 1)

        S₂₉=1000×1.02³⁰(1.029²⁹-1) /1.0294-1

              =1811.36(2.291106-1)/0.0294

              =1811.36(1.2911)/0.0294

              =79545.8567

Hence, The sum of the given geometric series is given by 79545.8567

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Answer:

a = 14

Step-by-step explanation:

The angles share a common side terminal side, so they are supplementary angles. This also means they add up to 180º.

8a + (5a - 2) = 180

Combine like terms.

13a - 2 = 180

13a = 182

Divide both sides by 13.

a = 14

This is your answer.

Check your work by plugging "a" back into the original equation.

8a + (5a - 2) = 180

8(14) + [5(14) - 2] = 180

112 + (70 - 2) = 180

112 + 68 = 180

180 = 180

Your answer is correct.

Hope this helps!

Answer:

the value of N should be -1

The solution is:

If my parents are going to pay the 5%, then, they will pay: $2979.

I will need to save $62.06 each month to accomplish my goal.

Here,

I'm going to a 4-year college that will cost $14895/year.

It means that I will need to pay: 14895*4 = $59.580

If my parents are going to pay the 5%, then, they will pay: $2979.

Now, if I want to save my total contribution for all four years, and I have four years to accomplish  the goal, then:

Then, if I have 4 years to pay it. It means I have 4*12 = 48 months.

Then I will need to save $2979./48 = $62.06 each month to accomplish my goal.

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complete question:

You are going to a 4-year college in 4 years that will cost $14,895.00/yr. Your parents expect you to pay 5% of the total cost.

How much do you need to pay for each year of attending?

If you want to save your total contribution for all four years before you start attending college, how much do you need to save each month if you have four years to accomplish your goal?

Answer:

SSS

Step-by-step explanation:

are 2 isosceles right triangles congruent, have both sides and angles equal, so the answers are all valid, the simplest is SSS, 2 sides are the same and marked on the drawing, the third is the same accordingly

Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

Answer:

I think they spent altogether $72

Step-by-step explanation:

Since each person had a ticket, five friends would have $25 worth of tickets. Since they watched 2 movies, you would do 25 times 2 and get 50. Since they all had one bag of popcorn for $2, they would have to pay $10 for the popcorn. And since they had to spend $12 for the pizza and the large bottle of soda, they would've spent $72 altogether for the movie trip and the pizza. Hope this helps! Have a great day!

9514 1404 393

Answer:

  (x +1)^2 +(y -3)^2 = 4

Step-by-step explanation:

The equation of a circle centered at (h, k) with radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

The graphed circle is centered at (h, k) = (-1, 3), and has radius 2, so its equation is ...

  (x +1)^2 +(y -3)^2 = 4

The statement, For every point on the graph of f(x), there is a point on the graph of F⁻¹(x) with reversed coordinates is false.

In relation to the original function f, the inverse function is denoted by the symbol f⁻¹, and both the original function's domain and its range are transformed into the inverse function's domain and range, respectively. Swapping (x, y) with (y, x) with reference to the line y = x yields the graph of the inverse function.

We know that inverse of function is NOT the reciprocal of f. The composition of the function f and the reciprocal function f inverse gives the domain value of x.

Hence, the statement, For every point on the graph of f(x), there is a point on the graph of F⁻¹(x) with reversed coordinates is false.

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Answer:

y=1.5x + 3

Step-by-step explanation:

..............

Using the probability concept, the likelihood of landing on 2 or 3 is given by:

\(p = \frac{3}{8}\)

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching this problem on the internet, considering the areas of 2 and 5 counting twice, the spinner has 8 areas, out of which 3 are 2 or 3, hence the probability is given as follows:

\(p = \frac{3}{8}\)

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The condition probability of a given b must be smaller than the intersection of the same two events a and b:

This statement is False.

The condition probability of event "b" given event "a" (P(b|a)) must be less than or equal to the probability of event "b" (P(b)). This is because the occurrence of event "a" restricts the sample space to only those outcomes that belong to event "a", and thus the probability of event "b" given event "a" cannot be greater than the unconditional probability of event "b".

The concept of conditional probability is used to describe the probability of an event given that another event has already occurred.

The formula for conditional probability is

where P(b|a) represents the probability of event "b" given that event "a" has already occurred.

In order for this to be meaningful, it is required that P(b|a) <= P(b). This means that the probability of event "b" given that event "a" has already occurred cannot be greater than the unconditional probability of event "b".

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Answer:

Step-by-step explanation:

To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.

The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:

x-coordinate of C' = 1111 * 8 = 8888

y-coordinate of C' = 1111 * 8 = 8888

Therefore, the coordinates of point C' are (8888, 8888).

Answer:

6.92 x 1,000= 6,920

Step-by-step explanation: Hope this helps

Answer:

0

Step-by-step explanation:

Given that f(x) = 1/2x + 4

Let y = f(x)

y = 1/2 x + 4

Replace y with x

x = 1/2 y + 4

Make y the subject of the formula

1/2y = x - 4

y = 2(x-4)

If x = 3

y = 2(4-4)

y = 2(0)

y = 0

Hence ƒ -1(4) is 0

49 is the smallest possible value of x.

Given: x, y, and z are three perfect square numbers.

What is the least x that can be?

Currently, we have three numbers by the stipulation:

x > y > z > 0

and AP has these figures.

Let's now list every perfect square from 1 to 10 in the following order: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.

As a result, we can observe that 25 is equal to the product of 1 plus 49.

The possible outcomes are 1, 25, and 49.

If x = 49 and z = 1, then

x + z / 2 = y

49 + 1 / 2 = y

y = 50 / 2

y = 25

Y is therefore 25 and X is 49.

As a result, 49 is the lowest value of x that can exist.

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hi me ////// ///////////

Answer:

$13,568.30

Step-by-step explanation:

I = Prt

I = 2,219(1.0191)(6) = 13,568.30

EXPLANATION

Let's see the facts:

Leo ---> 5 1/2 pizzas

He wants to divide by 2

Representing 5 1/2 as a fractional number:

5 1/2 = 11/2

So, dividing both numbers give us:

Now, turning 11/4 as a mixed number:

11/4 = 2 3/4

So, each person will get 2 and 3/4 pizzas.

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

Answer: x = -1

Step-by-step explanation:

You need to convert to the same base

\(\frac{1}{16} = \frac{1}{2^{4} } = 2^{-4}\)

So

\(2^{-4} = 2^{-2x-6}\)

For these values to be equal, the exponents have to be equal

-4 = -2x - 6

2 = -2x

x = -1

The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

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Answer:

Step-by-step explanation:

The answer is False